Question

81 decided by 16 whole to the power -3 devided by 4

Answer 1

Answer:

$\frac{8}{27}$

Step-by-step explanation:

$(\frac{81}{16}) ^{\frac{-3}{4} }$

= $(\frac{16}{81}) ^{\frac{3}{4} }$

= ${\sqrt[4]({\frac{16}{81} }) }^{3}$

= $(\frac{\sqrt[4]{16} }{\sqrt[4]{81} } )^{3\\}$

= $(\frac{2}{3} )^{3}$

= $\frac{2^{3} }{3^{3} }$

= $\frac{8}{27}$

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